The Wilson–Cowan model describes the evolution of competing populations \(x_1\) , \(x_2\)  of excitatory and inhibitory neurons respectively. The model is defined by [1]}
\(\tau _1\,\dot{x}_1=-x_1+(\nu _1-r_1x_1)s_1(i_1),\quad \tau _2\,\dot{x}_2=-x_2+(\nu _2-r_2x_2)s_2(i_2),\) 
